The expression 3x²  33x  180 can be factored into the form a(x + b)(x + c), where a, b, and c are constants, to reveal the zeros of the function defined by the expression. What are the zeros of the function defined by 3x²  33x  180?
Select all that apply. A.) 15 B.) 10 C.) 6 D.) 4 E.) 4 F.) 6 G.) 10 H.) 15
To find the zeros, set the expression equal to zero and solve for x.
3x²  33x  180 = 0 {set the expression equal to zero} 3(x²  11x  60) = 0 {factored out the greatest common factor, 3} 3(x  15)(x + 4) = 0 {factored into two binomials} (x  15)(x + 4) = 0 {divided each side by 3} x  15 = 0 or x + 4 = 0 {set each factor equal to 0} x = 15 or x = 4 {solved each equation for x} D.) 4 and H.) 15 Zeros are the xintercepts. Where the parabola crosses the xaxis, because the value of y is zero in the function f(x) = 3x²  33x  180. Comments are closed.

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